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NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2

NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2.

  • Introduction to Trigonometry Class 10 Ex 8.1
  • Introduction to Trigonometry Class 10 Ex 8.2
  • Introduction to Trigonometry Class 10 Ex 8.3
  • Introduction to Trigonometry Class 10 Ex 8.4
Board CBSE
Textbook NCERT
Class Class 10
Subject Maths
Chapter Chapter 8
Chapter Name Introduction to Trigonometry
Exercise Ex 8.2
Number of Questions Solved 4
Category NCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2

Ex 8.2 Class 10 Maths Question 1.
Evaluate the following:
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 17
Solution:
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 18
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 19
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 20

Ex 8.2 Class 10 Maths Question 2.
Choose the correct option and justify your choice:
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 21
Solution:
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 22
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 23

Ex 8.2 Class 10 Maths Question 3.
If tan (A + B) = √3 and tan (A – B) = \(\frac { 1 }{ \surd 3 }\); 0° < A + B ≤ 90°; A > B, find A and B.
Solution:
tan (A + B)      = √3 = tan 60°
⇒ A + B =  60°      …(i)
tan (A – B) = \(\frac { 1 }{ \surd 3 }\) = tan 30°
⇒ A – B = 30°          …(ii)
On Adding equation (i) and (ii), we get
2A = 90° ⇒ A = 45°
From (i), we get:
45° + B = 60° ⇒ B = 15°
Thus, A = 45°, B = 15°

Ex 8.2 Class 10 Maths Question 4.
State whether the following statements are true or false. Justify your answer.
(i) sin (A + B) = sin A + sin B.
(ii) The value of sin θ increases as θ increases.
(iii) The value of cos θ increases as θ increases.
(iv) sin θ = cos θ for all values of θ.
(v) cot A is not defined for A = 0°.
Solution:
(i) False
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 24

(ii) True
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 25

(iii) False
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 26

(iv) False
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 27

(v) True
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 28

 

We hope the NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2, help you. If you have any query regarding NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2, drop a comment below and we will get back to you at the earliest.

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